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Finding the Third Proportional to 1,474,976 and 3,209,522

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Solution

The third proportional to 1,474,976 and 3,209,522 is: 6,983,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,976 : 3,209,522 = 3,209,522 : x
  2. Step 2: Convert to fraction form
    1,474,976/3,209,522 = 3,209,522/x
  3. Step 3: Cross multiply
    1,474,976x = 3,209,522 × 3,209,522
  4. Step 4: Simplify right side
    1,474,976x = 10,301,031,468,484
  5. Step 5: Solve for x
    x = 10,301,031,468,484/1,474,976
  6. Step 6: Final answer
    x = 6,983,863.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.